upstream-doc/manglsl/xhtml/outerProduct.xml

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   4 <?xml-stylesheet type="text/xsl" href="mathml.xsl"?><html xmlns="http://www.w3.org/1999/xhtml" xmlns:pref="http://www.w3.org/2002/Math/preference" pref:renderer="mathplayer-dl"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><link rel="stylesheet" type="text/css" href="opengl-man.css" /><title>outerProduct - OpenGL Shading Language (GLSL)</title><meta name="generator" content="DocBook XSL Stylesheets V1.69.1" /></head><body><div class="refentry" lang="en" xml:lang="en"><a id="outerProduct"></a><div class="titlepage"></div><div class="refnamediv"><h2>Name</h2><p>outerProduct — calculate the outer product of a pair of vectors</p></div><div class="refsynopsisdiv"><h2>Declaration</h2><div class="funcsynopsis"><p><code class="funcdef">mat2 <b class="fsfunc">outerProduct</b>(</code>vec2 <var class="pdparam">c</var>, vec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat3 <b class="fsfunc">outerProduct</b>(</code>vec3 <var class="pdparam">c</var>, vec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat4 <b class="fsfunc">outerProduct</b>(</code>vec4 <var class="pdparam">c</var>, vec4 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat2x3 <b class="fsfunc">outerProduct</b>(</code>vec3 <var class="pdparam">c</var>, vec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat3x2 <b class="fsfunc">outerProduct</b>(</code>vec2 <var class="pdparam">c</var>, vec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat2x4 <b class="fsfunc">outerProduct</b>(</code>vec4 <var class="pdparam">c</var>, vec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat4x2 <b class="fsfunc">outerProduct</b>(</code>vec2 <var class="pdparam">c</var>, vec4 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat3x4 <b class="fsfunc">outerProduct</b>(</code>vec4 <var class="pdparam">c</var>, vec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">mat4x3 <b class="fsfunc">outerProduct</b>(</code>vec3 <var class="pdparam">c</var>, vec4 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat2 <b class="fsfunc">outerProduct</b>(</code>dvec2 <var class="pdparam">c</var>, dvec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat3 <b class="fsfunc">outerProduct</b>(</code>dvec3 <var class="pdparam">c</var>, dvec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat4 <b class="fsfunc">outerProduct</b>(</code>dvec4 <var class="pdparam">c</var>, dvec4 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat2x3 <b class="fsfunc">outerProduct</b>(</code>dvec3 <var class="pdparam">c</var>, dvec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat3x2 <b class="fsfunc">outerProduct</b>(</code>dvec2 <var class="pdparam">c</var>, dvec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat2x4 <b class="fsfunc">outerProduct</b>(</code>dvec4 <var class="pdparam">c</var>, dvec2 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat4x2 <b class="fsfunc">outerProduct</b>(</code>dvec2 <var class="pdparam">c</var>, dvec4 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat3x4 <b class="fsfunc">outerProduct</b>(</code>dvec4 <var class="pdparam">c</var>, dvec3 <var class="pdparam">r</var><code>)</code>;</p><p><code class="funcdef">dmat4x3 <b class="fsfunc">outerProduct</b>(</code>dvec3 <var class="pdparam">c</var>, dvec4 <var class="pdparam">r</var><code>)</code>;</p></div></div><div class="refsect1" lang="en" xml:lang="en"><a id="parameters"></a><h2>Parameters</h2><div class="variablelist"><dl><dt><span class="term"><em class="parameter"><code>c</code></em></span></dt><dd><p>
   5                     Specifies the parameter to be treated as a column vector.
   6                 </p></dd><dt><span class="term"><em class="parameter"><code>r</code></em></span></dt><dd><p>
   7                     Specifies the parameter to be treated as a row vector.
   8                 </p></dd></dl></div></div><div class="refsect1" lang="en" xml:lang="en"><a id="description"></a><h2>Description</h2><p>
   9             <code class="function">outerProduct</code> treats the first parameter <em class="parameter"><code>c</code></em> as a column
  10             vector (matrix with one column) and the second parameter <em class="parameter"><code>r</code></em> as a row vector
  11             (matrix with one row) and does a linear algebraic matrix multiply <em class="parameter"><code>c</code></em> * <em class="parameter"><code>r</code></em>,
  12             yielding a matrix whose number of rows is the number of components in <em class="parameter"><code>c</code></em> and
  13             whose number of columns is the number of components in <em class="parameter"><code>r</code></em>.
  14         </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="versions"></a><h2>Version Support</h2><div class="informaltable"><table border="1"><colgroup><col align="left" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /><col align="center" /></colgroup><thead><tr><th align="left"><span class="bold"><strong>Function</strong></span></th><th align="left"><span class="bold"><strong>Version 1.10</strong></span></th><th align="left"><span class="bold"><strong>Version 1.20</strong></span></th><th align="left"><span class="bold"><strong>Version 1.30</strong></span></th><th align="left"><span class="bold"><strong>Version 1.40</strong></span></th><th align="left"><span class="bold"><strong>Version 1.50</strong></span></th><th align="left"><span class="bold"><strong>Version 3.30</strong></span></th><th align="left"><span class="bold"><strong>Version 4.00</strong></span></th><th align="left"><span class="bold"><strong>Version 4.10</strong></span></th><th align="left"><span class="bold"><strong>Version 4.20</strong></span></th><th align="center"><span class="bold"><strong>Version 4.30</strong></span></th></tr><tr><th align="left">outerProduct (float)</th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th></tr><tr><th align="left">outerProduct (double)</th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>-</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th><th align="center"><span class="emphasis"><em>Y</em></span></th></tr></thead></table></div></div><div class="refsect1" lang="en" xml:lang="en"><a id="seealso"></a><h2>See Also</h2><p>
  15             <a href="dot.xml"><span class="citerefentry"><span class="refentrytitle">dot</span></span></a>
  16         </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="Copyright"></a><h2>Copyright</h2><p>
  17             Copyright <span class="trademark"></span>© 2011 Khronos Group.
  18             This material may be distributed subject to the terms and conditions set forth in
  19             the Open Publication License, v 1.0, 8 June 1999.
  20             <a href="http://opencontent.org/openpub/" target="_top">http://opencontent.org/openpub/</a>.
  21         </p></div></div></body></html>